How do i manipulate a cylinder i have inserted
All hail Warp Tool

Keep the 3D cursor in the middle of the sphere and place a cylinder half inside the sphere. Scale both sides of the cylinder separately so they have the right diameter. 



Then give the cylinder as many edge loops as you'd like with CTRLR. Keep in mind that it will get stretched quite a bit in a moment.



Now use the warp tool (Mesh>>Transform>>Warp or spacebar). The warp tool bends all selected verts around the 3D cursor. Use the redo panel to the left to set the angle to about 60 degrees, maybe 70.

The warp tool uses the 3D cursor as it's pivot point so make sure it's still in the sphere's center. It also uses the orientation of your window to define the axis. So it's important to normally use one of the main views, ideally without perspective. In this case I use Right Ortho.



I recommend doing that on top of the sphere, finish the entire assembly (exhaust nozzle) and then rotate it from the front to 37 degrees or whatever is closest to the original. 





After that you can either use a mirror modifier or mirror around the cursor by scaling -1 using the right axis. 



Keep your objects along the axes as long as possible to make your work easier. Then place them after they're done.

Tip: Work with single meshes. Easier to select or manipulate, you can make safety copies and hide them with H. You can join them later with CTRLJ